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Romashka [77]
3 years ago
8

I will give BRAINLIEST to the correct answer Find the measure of angle 2

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

∠ 2 = 104°

Step-by-step explanation:

- 8x - 48 = 9x + 275               [ alternate angles are equal ]

-8x - 9x = 275 + 48

-17x = 323

x = -19  

9x + 275 = 9 × -19 + 275

             = - 171 + 275

             = 104°

∠ 2 = ( 9x + 275 )                                     [vertically opposite angles ]

∠ 2 = 104°

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Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?
abruzzese [7]

Answer:

AC =4DB

Step-by-step explanation:

D is midpoint of AB .So, AD = DB

AB = 2DB ---------- (i)

B is the midpoint of AC.So, AB = BC

AC = 2AB

= 2*2DB     {FROM 1}

=4DB  

4 0
3 years ago
Can someone please help me please I really need help please help
mr Goodwill [35]

Answer:

  • K'(4, -4)
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Step-by-step explanation:

Dilation centered at the origin multiplies every coordinate value by the scale factor.

  K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)

  L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)

  M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)

  N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)

6 0
2 years ago
The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon. a
Tems11 [23]

It is given in the question that

The gas tank of Tyrell's truck holds 19.8 gallons. when the tank empty, Tyrrell fills it with gas that costs $3.65 per gallon.

It means cost of one gallon of gas is $3.65 .

And the tank hold 19.8 gallon . So cost of 19.8 gallon is

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3 years ago
What is the value of p
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6 0
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Read 2 more answers
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

m=\dfrac{-4}{7}

Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

6 0
2 years ago
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